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Finding the Fourth Proportional to 278.88, 384.93 and 220.74

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Solution

The fourth proportional to 278.88, 384.93 and 220.74 is: 304.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.88 : 384.93 = 220.74 : x
  2. Step 2: Convert to fraction form
    278.88/384.93 = 220.74/x
  3. Step 3: Cross multiply
    278.88x = 384.93 × 220.74
  4. Step 4: Simplify right side
    278.88x = 84,969.45
  5. Step 5: Solve for x
    x = 84,969.45/278.88
  6. Step 6: Final answer
    x = 304.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.